We look at the division of 42369967 by 513 
We want to divide 42369967 by 513.

Moving on to step 1:
If we divide 4 by 513, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 513

Let's proceed to step 2:
513 can be fit into 42 0 times, resulting in a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Take the next digit (3) from the dividend and append it to 42, then repeat: 423 / 513

Going ahead to step 3:
When dividing 423 by 513, we get 0 with a remainder of 423.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 423, we get 423.
Fetch the next digit (6) from the dividend, attach it to 423 and continue: 4236 / 513

On to step 4:
513 goes into 4236 8 times with a remainder of 132.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 4104 from 4236, we get 132.
Append the next digit (9) from the dividend to 132 and continue with: 1329 / 513

Going ahead to step 5:
The number 513 fits into 1329 2 times, leaving a remainder of 303.
Use 2 as the next digit of our solution. 
Result so far: 82.0
If we take 1026 away from 1329, we end up with 303.
Take the next digit (9) from the dividend and append it to 303, then repeat: 3039 / 513

Step 6:
When dividing 3039 by 513, we get 5 with a remainder of 474.
Write down 5 as next digit of the result. 
Result so far: 825.0
Deduct 2565 from 3039 and we're left with 474.
Fetch the next digit (6) from the dividend, attach it to 474 and continue: 4746 / 513

On to step 7:
513 can be fit into 4746 9 times, resulting in a remainder of 129.
Use 9 as the next digit of our solution. 
Result so far: 8259.0
Subtract 4617 from 4746 to get 129.
Fetch the next digit (7) from the dividend, attach it to 129 and continue: 1297 / 513

Moving on to step 8:
When dividing 1297 by 513, we get 2 with a remainder of 271.
Write down 2 as next digit of the result. 
Result so far: 82592.0
Subtracting 1026 from 1297 leaves us with 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

Moving on to step 9:
If we divide 2710 by 513, we get 5 and a remainder of 145.
Use 5 as the next digit of our solution. 
Result so far: 82592.5
If we subtract 2565 from 2710, we get 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Advancing to step 10:
513 can be fit into 1450 2 times, resulting in a remainder of 424.
Use 2 as the next digit of our solution. 
Result so far: 82592.52
Subtract 1026 from 1450 to get 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Moving on to step 11:
513 goes into 4240 8 times with a remainder of 136.
The next digit of our result is 8. 
Result so far: 82592.528
Subtract 4104 from 4240 to get 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Advancing to step 12:
513 can be fit into 1360 2 times, resulting in a remainder of 334.
Record the quotient 2 as the next digit in the result. 
Result so far: 82592.5282
Deduct 1026 from 1360 and we're left with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Step 13:
513 can be fit into 3340 6 times, resulting in a remainder of 262.
Put 6 as the next digit of the answer. 
Result so far: 82592.52826
Deduct 3078 from 3340 and we're left with 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

Step 14:
If we divide 2620 by 513, we get 5 and a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 82592.528265
Subtract 2565 from 2620 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 15:
513 goes into 550 1 times with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 82592.5282651
Deduct 513 from 550 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 16:
The number 513 fits into 370 0 times, leaving a remainder of 370.
The next digit of our result is 0. 
Result so far: 82592.5282651
The remainder is 370 after subtracting 0 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

In conclusion, the division gives 82592.5282651 with a balance of 3.7e-07.